I'd wait. All the signs are that prices in London are going to come down.
That could be terrible advice!
It's what people said to me when I bought my London flat about 15 years ago.
But although prices did slow at the time, they never actually went down in my area. Had I listened to advice like this, and not got on the property ladder then, with a 1 bed near the bottom of the market, then I almost certainly would have missed my chance.
Bu as it is, I ignored this and went ahead. The flat doubled in value in 10 years, and I now live mortgage free in a 3 bed family home outside London, paid for purely with the profit from the London flat.
So glad I ignored this kind of advice from well meaning people who didn't have a clue - or a crystal ball either!
Having said that, I did spend 6 months flat hunting, seeing about 30 studios / flats, because with such a limited budget for my first place it was a matter of finding a compromise I could live with.
So OP, I wouldn't advise waiting for prices to come down as that may never happen, but if prices aren't actually rising then hold on for a better place perhaps, or consider a wider area. How long have you been looking?